International Commission on Irrigation & Drainage Commission Interationale des Irrigation et du Drainage

Multilingual Technical Dictionary (MTD)
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Term No.Term Name/Term DescriptionAction
34
Sampling distribution
The distribution of a statistic (or set of statistics) in all possible samples chosen according to a specified sampling scheme......
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68
Cumulative distribution curve, Distribution curve, or Ogive
A graphic plot of the cumulative frequencies for a particular class interval and of all lower class intervals below it (or of all upper class intervals above it) against the class interval concerned. See 864......
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95
Frequency distribution
1 - An arrangement or distribution of quantities pertaining to a single element in the order of their magnitude. 2 - A specification of the way in which the frequencies of members of a population are distributed according to the values of the variates which they exhibit......
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97
Percentage distribution
A frequency distribution with the total frequency equated to 100 and the individual class frequencies in proportion to that figure......
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123
Coefficient of variation of a probability distribution
The ratio of the standard deviation to the absolute value of the expectation.
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145
Asymmetrical distribution
A distribution that is not symmetrical, or it has no central value a such that f(x - a) = f(a - x), f(x) being the frequency function. See `symmetrical distribution`. See 174......
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146
Bimodal distribution
A frequency distribution with two modes.
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147
Binomial distribution
A distribution following the binomial law in which the observations are classified simply as having or lacking a certain characteristic. If an event has probability p of occurrences at any one trial, the probability of r occurrences in n independent trials is C(r,n) = prqn-r , where q = 1 - p......
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148
Chi-squared distribution
If x1, x2, ... xv are a sample of v independent normally distributed random variables, each with zero mean and unit variance, the random variable x² = x1² + x2² + ------ + xv² gives the chi-square distribution with v degrees of freedom......
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149
Distribution, free test
A test when the distribution function of the test statistic does not depend on the form of the distribution function of the observations. Note - If the hypothesis does not explicitly make an assertion about a parameter, the test is sometimes non-parametric. Example : Test of the null hypothesis that the observations of a given series are independen.....
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150
Distribution, Gumbel, or Type I extreme value distribution
The probability distribution of a continuous random variable x, the distribution function of which is :
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151
Distribution, Freschet, or Type II extreme value distribution
The probability distribution of a continuous random variable x , the distribution function of which is :
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152
Distribution, hypergeometric
A distribution of a discrete variate generally associated with sampling from a finite population without replacement. The frequency of r `successes` [and n - r `failures`] in a sample of n so drawn from a population of N in which there are Np `successes` and Nq `failures` (p +q =1) is : .....
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153
Distribution, Weibull, or Type III extreme value distribution
The probability distribution of a continuous random variable x, the distribution function of which is :
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154
Exponential distribution
A distribution of the form
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155
F-Distribution
The distribution of the ratio F of two independent quantities, each being distributed like a variance in normal samples.
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156
Gamma distribution
The probability distribution of a continuous random variable x that can take any value from 0 to + ¥ with the probability density : .....
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157
Laplace-Gauss distribution,or Normal distribution
The probability distribution of a continuous random variable x such that, if x is any real number, the probability density is :.....
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158
Laplace-Gauss standardized distribution
The probability distribution of a pair of standardized normal variates. For a pair of normal variates (X, Y ) of parameters (mx , my) and (sx and sy) the corresponding standardized variates are .....
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159
Normal distribution
A variate is said to be normally distributed when it takes all values from -∞ to +∞, with frequencies given by a definite mathematical law, namely that the logarithm of the frequency at any distance d from the centre of the distribution is less than the logarithm of the frequency at the centre by a quantity proportional to d2. The conti.....
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160
Rectangular distribution
The probability distribution of a continuous variate for which the probability density function is constant within a finite interval and zero outside this interval......
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161
Uni-variate distribution
In the case of one variate, the relation between the values, classes or forms of this characteristic on the one hand and their sizes or frequencies on the other hand......
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162
Logarithmic normal distribution, or Lognormal distribution
If the logarithms of a set of variate values are distributed according to the normal distribution, the variate is said to have a logarithmic normal distribution, or be distributed lognormally......
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165
J-Shaped distribution
An extremely asymmetrical frequency distribution with the maximum frequency distribution at the initial (or final) frequency group and declining (or increasing) frequency elsewhere......
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167
Multimodal distribution
A frequency distribution with more than one modal value.
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